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Find the HCF of 32,98,8116\frac{3}{2},\frac{9}{8},\frac{81}{16}23​,89​,1681​​, and 2710\frac{27}{10}1027​​.
Question

Find the HCF of 32,98,8116\frac{3}{2},\frac{9}{8},\frac{81}{16}​, and 2710\frac{27}{10}​.

A.

281\frac{2}{81}​​

B.

140\frac{1}{40}​​

C.

803\frac{80}{3}​​

D.

380\frac{3}{80}​​

Correct option is D

Given:

The fractions:

32,98,8116,2710\frac{3}{2}, \frac{9}{8}, \frac{81}{16}, \frac{27}{10}​​

Formula Used:

HCF of fractions = HCF of numeratorsLCM of denominators\frac{\text{HCF of numerators}}{\text{LCM of denominators}}​​

Solution:

HCF =​HCF of 3, 9, 81, 27LCM of 2, 8, 16, 10=380\frac{\text{HCF of 3, 9, 81, 27}}{\text{LCM of 2, 8, 16, 10}} = \frac{3}{80}

​​

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